A LWR model with constraints at moving interfaces

Fuente: arXiv
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Autore principale: Sylla, Abraham
Natura: Preprint
Pubblicazione: 2024
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author Sylla, Abraham
author_facet Sylla, Abraham
contents We propose a mathematical framework to the study of scalar conservation laws with moving interfaces. This framework is developed on a LWR model with constraint on the flux along these moving interfaces. Existence is proved by means of a finite volume scheme. The originality lies in the local modification of the mesh and in the treatment of the crossing points of the trajectories.
format Preprint
id arxiv_https___arxiv_org_abs_2405_02526
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A LWR model with constraints at moving interfaces
Sylla, Abraham
Analysis of PDEs
35L65, 76A30, 65M08
We propose a mathematical framework to the study of scalar conservation laws with moving interfaces. This framework is developed on a LWR model with constraint on the flux along these moving interfaces. Existence is proved by means of a finite volume scheme. The originality lies in the local modification of the mesh and in the treatment of the crossing points of the trajectories.
title A LWR model with constraints at moving interfaces
topic Analysis of PDEs
35L65, 76A30, 65M08
url https://arxiv.org/abs/2405.02526